Wormholes in the Braneworld

TL;DR

This paper explores wormhole solutions in braneworld models considering 4D curvature effects, deriving equations of motion and numerically solving for specific boundary conditions to identify wormhole configurations.

Contribution

It introduces a detailed analysis of brane wormholes with curvature terms, providing new equations of motion and numerical solutions for these configurations.

Findings

Derived equations of motion for R=0 and R≠0 cases.

Numerical solutions demonstrating wormhole geometries.

Boundary conditions leading to stable wormhole solutions.

Abstract

We discuss brane wormhole solution when classical brane action contains 4d curvature. The equations of motion for the cases with R=0 and $R\ne 0$ are obtained. Their numerical solutions corresponding to wormhole are found for specific boundary conditions.